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Finding the Third Proportional to 9,240,863,270 and 20,175,093,912

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Solution

The third proportional to 9,240,863,270 and 20,175,093,912 is: 44,047,228,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240,863,270 : 20,175,093,912 = 20,175,093,912 : x
  2. Step 2: Convert to fraction form
    9,240,863,270/20,175,093,912 = 20,175,093,912/x
  3. Step 3: Cross multiply
    9,240,863,270x = 20,175,093,912 × 20,175,093,912
  4. Step 4: Simplify right side
    9,240,863,270x = 407,034,414,358,019,440,640
  5. Step 5: Solve for x
    x = 407,034,414,358,019,440,640/9,240,863,270
  6. Step 6: Final answer
    x = 44,047,228,323.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.